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Finding the Fourth Proportional to 52,597.92, 72,583.29 and 31,366.20

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Solution

The fourth proportional to 52,597.92, 72,583.29 and 31,366.20 is: 43,284.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,597.92 : 72,583.29 = 31,366.20 : x
  2. Step 2: Convert to fraction form
    52,597.92/72,583.29 = 31,366.20/x
  3. Step 3: Cross multiply
    52,597.92x = 72,583.29 × 31,366.20
  4. Step 4: Simplify right side
    52,597.92x = 2,276,661,990.80
  5. Step 5: Solve for x
    x = 2,276,661,990.80/52,597.92
  6. Step 6: Final answer
    x = 43,284.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.